Electrical Circuits and Modified MasteringEngineering - With Access
10th Edition
ISBN: 9780133992793
Author: NILSSON
Publisher: PEARSON
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Chapter 8, Problem 65P
a.
To determine
Derive the differential equation for the spring-mass system in the given circuit.
b.
To determine
Describe the function of each shaded area in the given circuit, describe the signal at the points B, C, D, E, and F, and discuss all the circuit parameters in terms of the coefficients in the differential equation.
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Determine the equilibrium electron and hole concentrations inside a uniformly doped sample of Si
under the following conditions. (n; =1010/cm³ at 300K)
a) T 300 K, NA << ND, ND = 1015/cm³
b) T 300 K, NA = 9X1015/cm³, ND = 1016/cm³
c) T = 450 K, NA = 0, ND = 1014/cm³
d) T = 650 K, NA = 0, ND = 1014/cm³
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Chapter 8 Solutions
Electrical Circuits and Modified MasteringEngineering - With Access
Ch. 8.1 - The resistance and inductance of the circuit in...Ch. 8.2 - Use the integral relationship between iL and v to...Ch. 8.2 - Prob. 3APCh. 8.2 - Prob. 4APCh. 8.2 - Prob. 5APCh. 8.3 - Prob. 6APCh. 8.4 - The switch in the circuit shown has been in...Ch. 8.4 - Prob. 8APCh. 8 - Prob. 1PCh. 8 - Prob. 2P
Ch. 8 - The resistance in Problem 8.1 is decreased to80 Ω...Ch. 8 - Prob. 4PCh. 8 - Prob. 5PCh. 8 - The natural voltage response of the circuit in...Ch. 8 - Prob. 7PCh. 8 - Prob. 8PCh. 8 - The natural response for the circuit shown in Fig....Ch. 8 - Prob. 10PCh. 8 - The two switches in the circuit seen in Fig.P8.11...Ch. 8 - The resistor in the circuit of Fig. P8.11 is...Ch. 8 - The resistor in the circuit of Fig.P8.11 is...Ch. 8 - The switch in the circuit of Fig. P8.17 has been...Ch. 8 - The inductor in the circuit of Fig. P8.17 is...Ch. 8 - The inductor in the circuit of Fig. P8.17 is...Ch. 8 - Design a parallel RLC circuit (see Fig. 8.1) using...Ch. 8 - Prob. 18PCh. 8 - Prob. 19PCh. 8 - Find υ(t) for t ≥ 0 in the circuit in Problem 8.19...Ch. 8 - Prob. 21PCh. 8 - Prob. 22PCh. 8 - The initial value of the voltage υ in the circuit...Ch. 8 - Prob. 24PCh. 8 - Prob. 25PCh. 8 - Prob. 26PCh. 8 - Prob. 27PCh. 8 - Prob. 28PCh. 8 - Prob. 29PCh. 8 - Prob. 30PCh. 8 - The switch in the circuit in Fig. P8.31 has been...Ch. 8 - Prob. 32PCh. 8 - There is no energy stored in the circuit in Fig....Ch. 8 - For the circuit in Fig. P8.30, find υo for t ≥...Ch. 8 - The switch in the circuit in Fig. P8.36 has been...Ch. 8 - Prob. 36PCh. 8 - Prob. 37PCh. 8 - Prob. 38PCh. 8 - Prob. 39PCh. 8 - Find the voltage across the 80 nF capacitor for...Ch. 8 - The initial energy stored in the 31.25 nF...Ch. 8 - In the circuit in Fig. P8.42, the resistor is...Ch. 8 - Design a series RLC circuit (see Fig. 8.3) using...Ch. 8 - Change the resistance for the circuit you designed...Ch. 8 - Prob. 45PCh. 8 - Prob. 46PCh. 8 - The switch in the circuit shown in Fig. P8.48 has...Ch. 8 - The switch in the circuit in Fig. P8.48 has been...Ch. 8 - The initial energy stored in the circuit in Fig....Ch. 8 - The resistor in the circuit shown in Fig. P8.50 is...Ch. 8 - The resistor in the circuit shown in Fig. P8.50 is...Ch. 8 - Prob. 52PCh. 8 - The two switches in the circuit seen in Fig. P8.53...Ch. 8 - Prob. 55PCh. 8 - Prob. 57PCh. 8 - Prob. 58PCh. 8 - Prob. 59PCh. 8 - Prob. 60PCh. 8 - Prob. 61PCh. 8 - Derive the differential equation that relates the...Ch. 8 - The voltage signal of Fig. P8.63(a) is applied to...Ch. 8 - The circuit in Fig. P8.63 (b) is modified by...Ch. 8 - Prob. 65PCh. 8 - Prob. 66PCh. 8 - Prob. 67PCh. 8 - Prob. 68P
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- b) A semiconductor is doped with an impurity concentration N such that N >> n; and all the impurities are ionized. Also, n = N and p = n2/N. Is the impurity a donor or an acceptor? Explain.arrow_forwardd) For a silicon sample maintained at T=300K, the Fermi level is located 0.259 eV above the intrinsic Fermi level. What are the hole and electron concentrations?arrow_forwarde) In a nondegenerate germanium sample maintained under equilibrium conditions near room temperature, it is known that n=10¹³/cm³, n = 2p, and NA 0. Determine n and ND.arrow_forward
- Solve fo the voltage across the 1kohm resistor using superposition for the three following cases: only V1 present, only V2 present, and both V1 and V2 present.arrow_forwardSemiconductor A has a band gap of 1eV, while semiconductor B has a band gap of 2eV. What is the ration of the intrinsic carrier concentrations in the two materials (n₁A/NB) at 300 K. Assume any differences in the carrier effective masses may be neglected.arrow_forwardc) The electron concentration in a piece of Si maintained at 300K under equilibrium conditions is 105/cm³. What is the hole concentration?arrow_forward
- 5. Represent the following system in state-space form. Write A, B, C and D clearly in your answer. d³y d²y dt3 - +5y=2u dt²arrow_forward3. Find the transfer function H(s) and frequency response H (w) of the following system whose differential equation is given by d¹y d³y +3. dy +5 dt4 dt3 dt - d²u du 4y = - 5 dt² dtarrow_forward1. Consider a plant that you want to control. The input u(t) and output y(t) of the plant are related by y(t) = 7 u(t) + w(t) where w(t) is an additive disturbance at the output which is bounded by -0.5 w(t) ≤0.5 for all time t. You want to build a controller so that the output follows a constant reference signal r(t) = where -15 ≤≤ 15. You will consider both open-loop and closed-loop for this problem. a) Sketch the block diagram of the plant. b) Please build an open-loop controller that sets the output to 7, assuming the disturbance is ignored. Please show your controller both as an equation and a block diagram. c) Say that you use the open-loop controller in part b, but now the disturbance w(t) is present. What is the maximum possible magnitude of error in the output for the reference signal? Suppose you have designed a feedback control for the plant where the controller has the form u(t) = K(r(t) − y(t)). Here K is the gain constant of the controller that you will design. d) Please…arrow_forward
- 2. Suppose the Laplace transform of a causal signal x(t) is given by s² +2 X(s) = S³ + 1 Using the lookup tables for standard Laplace transforms and the Laplace transform properties, find the Laplace transforms of the following signals. You do not need to simplify the expressions. a) x₁(t) = e² x(t) + 38(t − 1) − (t − 2)² u(t − 2) b) x2(t) = x(2t - 1) + et u(t − 2)arrow_forwardPlease explain in detail the steps to solve this. Thank youarrow_forward6. Answer the following questions. Take help from ChatGPT to answer these questions (if you need). But write the answers briefly using your own words with no more than two sentences and make sure you check whether ChatGPT is giving you the appropriate answers in our context. a) What is the difference between a regulator and a servo system? Which is harder to build? b) What are the advantages and drawbacks of manual control systems over automatic ones? c) Does transfer exist for the non-linear systems? d) Explain the convolution property of the Laplace transform. e) What are the advantages of using state-space representation?arrow_forward
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